FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 775-777

On direct summands of tensor product

E. B. Malyshev

Abstract

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It is shown that every direct summand of tensor product $G\otimes A$ of a torsion free rank $1$ Abelian group $A$ and Abelian group $G$ of $\mathfrak{J}_{PA}$ has a form $\widetilde{G}\otimes A$, where $\widetilde{G}$ is the subgroup of $G$ isomorphic to some direct summand of $G$.

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